Question

Given: f(x) = 2x2 – 3x + 4 g(x) = x + 3 h(x) = (2x-1)/(x+2) k(x) = (x-1)/(x+1)


Find: ( f o g o h o k)( 1 )

Answer 1

It will take time..wait:D

Answer 2

whats "o"?

Answer 3

composition

Answer 4

fog means f ( g(x) )

Answer 5

its times lol..hehe..times = composition :)

Answer 6

what if its a solid circle?

Answer 7

@pengembara_bumi1 times??

Answer 8

multiply?

Answer 9

composition is multiplication?

Answer 10

no @Colcaps

Answer 11

start your calculation by insert the function of k(1) first...then continue with h(k)..then g(h)..finally f(g)...hehe

Answer 12

@Krishnadas : no...i mean...u substitute 1 into k(x)..then follow the rule..hehe

Answer 13

@pengembara_bumi1 can you please show him how its solved?I am going

Answer 14

@Colcaps : dont missunderstood..hehe..

Answer 15

Wait im confused, what will "(1)" do in there?

Answer 16

@Krishnadas : orite :)

Answer 17

the answer is 9

Answer 18

Wait, i dont want the answer, i want to know how its solved

Answer 19

first plug 1 in the place of x in k(x). FInd the value and then plug that value in h(x) and so on till you come to f(x) it will give you the answer.

Answer 20

k(1) = 1-1/1+1 = 0

Answer 21

now find the value of h(x) when x = 0

Answer 22

So k(1)=x-1/x+1?

Answer 23

the value that that you get for h(0) is the value you plug in the place of x in g(x)

Answer 24

k(x) = x-1/x+1, when you put 1 in the place of x it becomes k(1)

Answer 25

So what will happen if its changed to k(1)?

Answer 26

you have to find the value of (fogohok) (1)so the easiest way is to first find the value of k(1) then use this value and put it in the place of x in the function h(x)

Answer 27

for example, when you put x = 1 in k(x) it becomes 0; k(1) = 0

Answer 28

f(x) = 2x2 – 3x + 4 g(x) = x + 3 h(x) = (2x-1)/(x+2) k(x) = (x-1)/(x+1)
=f.g.h ( (1-1)/(1+1) )
=f.g.(2(0)-1)/(0+2)
=f.g(-1/2)
=f(-1/2)+3
=f(5/2)
=2(5/2)^2 - 3(5/2) + 4
=9 :)

Answer 29

@akitav : am i right ? :O

Answer 30

wow i really suck in combning

Answer 31

now put x = 0 in the function h(x)

Answer 32

@pengembara_bumi1 nice work :)

Answer 33

what happened to all "x's"?

Answer 34

when you need to find the value of a function at x = 1 the x would be replaced by 1. This is what we did for k(1)

Answer 35

@akitav : thanks.. :)

Answer 36

all "x" will be replaced to 1?

Answer 37

yes dear..replace it..once u replace x with number,then no more x exist :)

Answer 38

x will always be replaced to 1?

Answer 39

@pengembara_bumi1

Answer 40

yes..totally :)

Answer 41

what is f(2) will i replace all "x" to 2?

Answer 42

ofcourse.. :)

Answer 43

all right, thanks

Answer 44

@pengembara_bumi1 oh i forgot, this "o" is composition right? what if its a solid circle? like this 3[(g . h . k)(2)]?

Answer 45

are you clear ? ok :)

Answer 46

@pengembara_bumi1 oh i forgot, this "o" is composition right? what if its a solid circle? like this 3[(g . h . k)(2)]?

Answer 47

ouh,also same dear :)

Answer 48

alright thanks

Answer 49

welcome :)